Residual activity for the number theory participants will carry on for the period April 1, 1994 to July 31, 1995. From its inception in September, 1993, the L-functions program was designed to apitalise on the polarisation of research directions which were expected to arise from the Newton Institute, Cambridge venture held in the previous academic year. Continued advances have been made both in the theory (e.g. the work of Kato, Kolyvagin, Rubin, Wiles and others on the Main Conjecture of Iwasawa Theory) and in the applications (e.g. the work of Lenstra, Van der Geer etc. on codes and primality testing). The Fields Institute program on L-functions has been fruitful in the area of collaboration opportuniites for the participants and many research works have geen completed in the paset seven months as well as others in progress as the program continues.